New higher derivative action for tensor multiplet in N=2 conformal supergravity in four dimensions

Abstract

We will use the covariant superform approach to develop a new density formula for $\mathcal{N}=2$ conformal supergravity which is based on a fermionic multiplet whose lowest component is a dimension-5/2 spinor. We will show that this density formula admits an embedding of the real scalar multiplet of [arXiv:1712.02309]. Upon using the embedding of the tensor multiplet into the real scalar multiplet, we will construct a new higher derivative action of the tensor multiplet in $\mathcal{N}=2$ conformal supergravity.

31 pages, References updated. Minor typos corrected

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Cited by in corpus (12)

• The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS${}_4$ Holography
• 4d N=2 supergravity observables from Nekrasov-like partition functions
• On curvature-squared invariants of minimal five-dimensional supergravity from superspace
• Hyper-Dilaton Weyl Multiplets of 5D and 6D Minimal Conformal Supergravity
• N = 3 Conformal Supergravity in Four Dimensions
• Higher derivative invariants in four dimensional N=3 Poincare supergravity
• N=2 conformal supergravity in five dimensions
• Higher-Derivative Supergravity, AdS${}_4$ Holography, and Black Holes
• Relaxed hypermultiplet in four dimensional N=2 conformal supergravity
• Black hole thermodynamics at 4 derivatives, natural variables and BPS limits
• Only Flat Spacetime is Full BPS in Four Dimensional N=3 and N=4 Supergravity
• Hyper-Dilaton Weyl Multiplet of 4D, $\mathcal{N}=2$ Conformal Supergravity